mariaidarraga98 mariaidarraga98
  • 10-05-2017
  • Mathematics
contestada

At a certain point in time, each dimension of a cube of ice is 30 cm and is decreasing at the rate of 2 cm/hr. How fast is the ice melting (losing volume)?

Respuesta :

TheHero
TheHero TheHero
  • 18-06-2017
Let each side of the cube be of length x

x = 30 cm

dx/dt = -2 cm/hr


V = x^3 differentiate with respect to time 

dV/dt = 3x^2 dx/dt = 3 * (30)^2 * (-2) = -5400 cm^3/hr 

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